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Subjects
55-XX Algebraic topology
55Rxx Fiber spaces and bundles
55R65 Generalizations of fiber spaces and bundles

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Fibrations and classifying spaces : overview and the classical examples

Peter I. Booth (2000)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Finite spaces and the universal bundle of a group

Peter Witbooi (1997)

Commentationes Mathematicae Universitatis Carolinae

We find sufficient conditions for a cotriad of which the objects are locally trivial fibrations, in order that the push-out be a locally trivial fibration. As an application, the universal $G$ -bundle of a finite group $G$ , and the classifying space is modeled by locally finite spaces. In particular, if $G$ is finite, then the universal $G$ -bundle is the limit of an ascending chain of finite spaces. The bundle projection is a covering projection.

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